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Surface area of Square Pyramid when Slant height (s) is given and Edge length of base (a) is missing Solution

STEP 0: Pre-Calculation Summary
Formula Used
area = (4*((Slant Height^2)-(Height^2)))+((2*(sqrt((Slant Height^2)-(Height^2))))*(sqrt((4*(Height^2))+(4*((Slant Height^2)-(Height^2))))))
A = (4*((s^2)-(h^2)))+((2*(sqrt((s^2)-(h^2))))*(sqrt((4*(h^2))+(4*((s^2)-(h^2))))))
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Slant Height - Slant Height is the height of a cone from the vertex to the periphery (rather than the center) of the base. (Measured in Meter)
Height - Height is the distance between the lowest and highest points of a person standing upright. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Slant Height: 5 Meter --> 5 Meter No Conversion Required
Height: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (4*((s^2)-(h^2)))+((2*(sqrt((s^2)-(h^2))))*(sqrt((4*(h^2))+(4*((s^2)-(h^2)))))) --> (4*((5^2)-(12^2)))+((2*(sqrt((5^2)-(12^2))))*(sqrt((4*(12^2))+(4*((5^2)-(12^2))))))
Evaluating ... ...
A = NaN
STEP 3: Convert Result to Output's Unit
NaN Square Meter --> No Conversion Required
FINAL ANSWER
NaN Square Meter <-- Area
(Calculation completed in 00.016 seconds)

11 Other formulas that you can solve using the same Inputs

Volume of a Conical Frustum
volume = (1/3)*pi*Height*(Radius 1^2+Radius 2^2+(Radius 1*Radius 2)) Go
Total Surface Area of a Cone
total_surface_area = pi*Radius*(Radius+sqrt(Radius^2+Height^2)) Go
Lateral Surface Area of a Cone
lateral_surface_area = pi*Radius*sqrt(Radius^2+Height^2) Go
Total Surface Area of a Cylinder
total_surface_area = 2*pi*Radius*(Height+Radius) Go
Lateral Surface Area of a Cylinder
lateral_surface_area = 2*pi*Radius*Height Go
Volume of a Circular Cone
volume = (1/3)*pi*(Radius)^2*Height Go
Area of a Trapezoid
area = ((Base A+Base B)/2)*Height Go
Volume of a Circular Cylinder
volume = pi*(Radius)^2*Height Go
Volume of a Pyramid
volume = (1/3)*Side^2*Height Go
Area of a Triangle when base and height are given
area = 1/2*Base*Height Go
Area of a Parallelogram when base and height are given
area = Base*Height Go

11 Other formulas that calculate the same Output

Area of a Triangle when sides are given
area = sqrt((Side A+Side B+Side C)*(Side B+Side C-Side A)*(Side A-Side B+Side C)*(Side A+Side B-Side C))/4 Go
Area of a Rhombus when side and diagonals are given
area = (1/2)*(Diagonal A)*(sqrt(4*Side^2-(Diagonal A)^2)) Go
Area of a Rectangle when breadth and diagonal are given
area = Breadth*(sqrt((Diagonal)^2-(Breadth)^2)) Go
Area of a Rectangle when length and diagonal are given
area = Length*(sqrt((Diagonal)^2-(Length)^2)) Go
Area of a Trapezoid
area = ((Base A+Base B)/2)*Height Go
Area of a Rhombus when diagonals are given
area = (Diagonal A*Diagonal B)/2 Go
Area of a Triangle when base and height are given
area = 1/2*Base*Height Go
Area of a Rectangle when length and breadth are given
area = Length*Breadth Go
Area of a Parallelogram when base and height are given
area = Base*Height Go
Area of a Square when diagonal is given
area = 1/2*(Diagonal)^2 Go
Area of a Square when side is given
area = (Side A)^2 Go

Surface area of Square Pyramid when Slant height (s) is given and Edge length of base (a) is missing Formula

area = (4*((Slant Height^2)-(Height^2)))+((2*(sqrt((Slant Height^2)-(Height^2))))*(sqrt((4*(Height^2))+(4*((Slant Height^2)-(Height^2))))))
A = (4*((s^2)-(h^2)))+((2*(sqrt((s^2)-(h^2))))*(sqrt((4*(h^2))+(4*((s^2)-(h^2))))))

What is square pyramid?

In geometry, a square pyramid is a pyramid having a square base. If the apex is perpendicularly above the center of the square, it is a right square pyramid, and has C₄ᵥ symmetry. If all edges are equal, it is an equilateral square pyramid, the Johnson solid J₁

How to Calculate Surface area of Square Pyramid when Slant height (s) is given and Edge length of base (a) is missing?

Surface area of Square Pyramid when Slant height (s) is given and Edge length of base (a) is missing calculator uses area = (4*((Slant Height^2)-(Height^2)))+((2*(sqrt((Slant Height^2)-(Height^2))))*(sqrt((4*(Height^2))+(4*((Slant Height^2)-(Height^2)))))) to calculate the Area, Surface area of Square Pyramid when Slant height (s) is given and Edge length of base (a) is missing formula is defined as amount of space occupied by Square Pyramid in given plane. Area and is denoted by A symbol.

How to calculate Surface area of Square Pyramid when Slant height (s) is given and Edge length of base (a) is missing using this online calculator? To use this online calculator for Surface area of Square Pyramid when Slant height (s) is given and Edge length of base (a) is missing, enter Slant Height (s) and Height (h) and hit the calculate button. Here is how the Surface area of Square Pyramid when Slant height (s) is given and Edge length of base (a) is missing calculation can be explained with given input values -> NaN = (4*((5^2)-(12^2)))+((2*(sqrt((5^2)-(12^2))))*(sqrt((4*(12^2))+(4*((5^2)-(12^2)))))).

FAQ

What is Surface area of Square Pyramid when Slant height (s) is given and Edge length of base (a) is missing?
Surface area of Square Pyramid when Slant height (s) is given and Edge length of base (a) is missing formula is defined as amount of space occupied by Square Pyramid in given plane and is represented as A = (4*((s^2)-(h^2)))+((2*(sqrt((s^2)-(h^2))))*(sqrt((4*(h^2))+(4*((s^2)-(h^2)))))) or area = (4*((Slant Height^2)-(Height^2)))+((2*(sqrt((Slant Height^2)-(Height^2))))*(sqrt((4*(Height^2))+(4*((Slant Height^2)-(Height^2)))))). Slant Height is the height of a cone from the vertex to the periphery (rather than the center) of the base and Height is the distance between the lowest and highest points of a person standing upright.
How to calculate Surface area of Square Pyramid when Slant height (s) is given and Edge length of base (a) is missing?
Surface area of Square Pyramid when Slant height (s) is given and Edge length of base (a) is missing formula is defined as amount of space occupied by Square Pyramid in given plane is calculated using area = (4*((Slant Height^2)-(Height^2)))+((2*(sqrt((Slant Height^2)-(Height^2))))*(sqrt((4*(Height^2))+(4*((Slant Height^2)-(Height^2)))))). To calculate Surface area of Square Pyramid when Slant height (s) is given and Edge length of base (a) is missing, you need Slant Height (s) and Height (h). With our tool, you need to enter the respective value for Slant Height and Height and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Area?
In this formula, Area uses Slant Height and Height. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • area = 1/2*Base*Height
  • area = sqrt((Side A+Side B+Side C)*(Side B+Side C-Side A)*(Side A-Side B+Side C)*(Side A+Side B-Side C))/4
  • area = Length*Breadth
  • area = Length*(sqrt((Diagonal)^2-(Length)^2))
  • area = Breadth*(sqrt((Diagonal)^2-(Breadth)^2))
  • area = (Side A)^2
  • area = 1/2*(Diagonal)^2
  • area = (Diagonal A*Diagonal B)/2
  • area = (1/2)*(Diagonal A)*(sqrt(4*Side^2-(Diagonal A)^2))
  • area = Base*Height
  • area = ((Base A+Base B)/2)*Height
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